Eulimene was the name of two characters in Greek mythology

Greek mythology

Greek mythology is the body of myths and legends belonging to the ancient Greeks, concerning their gods and heroes, the nature of the world, and the origins and significance of their own cult and ritual practices. They were a part of religion in ancient Greece...

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1. Eulimene, one of the Nereids

Nereids

In Greek mythology, the Nereids are sea nymphs, the fifty daughters of Nereus and Doris, sisters to Nerites. They often accompany Poseidon and can be friendly and helpful to sailors fighting perilous storms. They are particularly associated with the Aegean Sea, where they dwelt with their father...

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2. Eulimene was a Cretan girl, daughter of Cydon, and betrothed to Apterus. In spite of this she had an affair with another man, Lycastus. When Cydon consulted the oracles to discover how to best his enemies they told him to sacrifice a virgin. He cast lots on all the virgins of the area, and the fatal lot was cast upon his own daughter. Even though Lycastus confessed to having slept with her, she was still condemned to death, after which an examination of her body proved that she had been pregnant.